Pith Number

pith:FZK5GMH5

pith:2012:FZK5GMH562QHTTN6QVBRPNPAFV

not attested not anchored not stored refs pending

Monochromatic generating sets in groups and other algebraic structures

Boaz Tsaban, Itay Ravia, Noam Lifshitz

arxiv:1211.6016 v3 · 2012-11-26 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZK5GMH562QHTTN6QVBRPNPAFV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:39:27.796075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e55d330fdf6a079cdbe854317b5e02d74dd690e3c49b5fa7b7a7221fcb2e629

Aliases

arxiv: 1211.6016 · arxiv_version: 1211.6016v3 · doi: 10.48550/arxiv.1211.6016 · pith_short_12: FZK5GMH562QH · pith_short_16: FZK5GMH562QHTTN6 · pith_short_8: FZK5GMH5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FZK5GMH562QHTTN6QVBRPNPAFV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2e55d330fdf6a079cdbe854317b5e02d74dd690e3c49b5fa7b7a7221fcb2e629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2803729c4804151370054b1eedaf8552f65625af0db815baf88f90279e0662",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-26T16:43:28Z",
    "title_canon_sha256": "3df50057fa8d0b9c1edbf862c83fad3270411cf493e6af16ab562f647335b310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6016",
    "kind": "arxiv",
    "version": 3
  }
}